[0/5 Points] DETAILS PREVIOUS ANSWERS Find the Maclaurin series for f(x), assuming that f(x) has a power series expansion. f (x) = e5x CO n = 0 X Submit Answer [-/5 Points] DETAILS Find the Maclaurin series for f(x), assuming that f(x) has a power series expansion. f(x) = cos(9x) n = 0Find the Maclaurin series for for), assuming that x) has a power series expansion. X x) =/ 652' dt 0 ) Ms 45 Points] DETAILS Find the Taylor series for F(X) centered at the given value of 5, assuming that x) has a power series expansion about a. for) = cos(2x) a = ) n 4 Ms Find the Taylor series for x) centered at the given value of a, assuming that x) has a power series expansion about a. f(X)= 5:7 ) 1 X E1: 5 Points] DETAILS Find the Taylor series for f(x) centered at the given value of 5, assuming that x) has a power series expansion about a. f(x)=ex a=7 ) Ei Find the Taylor series for f(x) centered at the given value of a, assuming that f(x) has a power series expansion about a. f(x) = x - x' a=4 [-/1 Points] DETAILS Use the binomial series to expand the function as a power series. f( x ) = V1+x O 1/8 n n = 0 00 1/8 V X n =Use the binomial series to expand the function as a power series. 1 f( x ) = (2 - x ) 2 O n = O [ = ( 2 ) ( * )" O E : ( 2 ) ( -* )" n = O E (2 ) ( -* )" [-/1 Points] DETAILS Find the Maclaurin series for f(x). 1 f(x) = 1+x O -1/2 x 4n n = O 1/2 * 4n n n = 0 O E -1/2 \\(x + 1) 4n n = O 1/2 \\( x + 1 ) 4n n n = 0Use an infinite series to approximate to four decimal places. sin(5) E !. [13 Points] DETAILS Use an infinite series to approximate to four decimal places. /1 sin(4x) dx {1 X S